The perimeter of the quadrilateral EFGH is 10 units.
What is perimeter?
Perimeter is the total length of the boundary of a closed shape. The perimeter of the polygon is measured as the sum of all the sides.
For the given situation,
The diagram shows the two quadrilaterals ABCD and EFGH.
The quadrilaterals are similar, ABCD ≅ EFGH. So their ratios are equal.
Here BC = 5.0, FG = 2.5
⇒ [tex]\frac{FG}{BC} =\frac{2.5}{5.0}[/tex]
⇒ [tex]\frac{1}{2}[/tex]
So the lengths of EFGH is half than that of ABCD.
Then the lengths of EFGH are 2.5, 2.0, 4.0, 1.5
Thus the perimeter of EFGH is
Perimeter = Sum of all sides
⇒ [tex]Perimeter = 2.5+2.0+4.0+1.5[/tex]
⇒ [tex]Perimeter = 10.0[/tex]
Hence we can conclude that the perimeter of the quadrilateral EFGH is 10 units.
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